11501687340 has 480 divisors, whose sum is σ = 42825404160. Its totient is φ = 2547417600.

The previous prime is 11501687333. The next prime is 11501687347. The reversal of 11501687340 is 4378610511.

11501687340 is a `hidden beast` number, since 1 + 150 + 168 + 7 + 340 = 666.

11501687340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11501687333) and next prime (11501687347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11501687295 and 11501687304.

It is not an unprimeable number, because it can be changed into a prime (11501687347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30347271 + ... + 30347649.

It is an arithmetic number, because the mean of its divisors is an integer number (89219592).

Almost surely, 2^11501687340 is an apocalyptic number.

11501687340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11501687340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21412702080).

11501687340 is an abundant number, since it is smaller than the sum of its proper divisors (31323716820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11501687340 is a wasteful number, since it uses less digits than its factorization.

11501687340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11501687340 in words is "eleven billion, five hundred one million, six hundred eighty-seven thousand, three hundred forty".